Monthly Best Of on 01/31/2007




Tridimensional representation of a quadridimensional Calabi-Yau manifold

Jean-François COLONNA
www.lactamme.polytechnique.fr
jean-francois.colonna@polytechnique.edu
CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France
france telecom, France Telecom R&D

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Contents of this page:


1-The 128 most referenced Pictures:



Black dots (inside random white squares)on a square lattice
1-1025 reference(s)
The random walk of photons escaping the Sun
2-874 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
3-742 reference(s)
Reconstruction of a 3D structure -a cubic lattice-
4-667 reference(s)
The Lorenz attractor
5-578 reference(s)
Quark and gluon structure of a nucleon
6-556 reference(s)
Along the border of the Mandelbrot set
7-543 reference(s)
Psychedelic hypercube
8-505 reference(s)
The bidimensional John Conway's life game
9-485 reference(s)
Foggy Babel Tower -a tribute to Brueghel the Elder-
10-482 reference(s)
The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section-
11-465 reference(s)
Tridimensional representation of a hexadimensional Calabi-Yau manifold
12-462 reference(s)
Welcome aboard a Virtual Space-Time Travel Machine
13-459 reference(s)
Paradoxal Monument Valley at sunset
14-444 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
15-418 reference(s)
Quantum vacuum fluctuations
16-379 reference(s)
Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
17-357 reference(s)
Artistic view of the prime numbers
18-335 reference(s)
The random walk of photons escaping the Sun
19-325 reference(s)
Autostereogram with an hidden volcano
20-324 reference(s)
Quark and gluon dynamics of the nucleon
21-312 reference(s)
Quark and gluon structure of a nucleon
22-309 reference(s)
From Pluto to the Sun (non linear scales)
23-282 reference(s)
An Archimedes spiral displaying 1000 numbers
24-278 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold
25-278 reference(s)
Synthesis of tridimensional symmetrical geometrical textures
26-275 reference(s)
Fractal synthesis of mountains with vegetation and stormy clouds
27-275 reference(s)
The Birth of the Universe
28-272 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed with 2 different optimization options on the same computer (sensitivity to rounding-off errors)
29-262 reference(s)
The Lorenz attractor (computed with the Runge-Kutta of the second order method)
30-251 reference(s)
Tridimensional heterogeneous fractal structure in a tridimensional torus
31-246 reference(s)
Mountains at sunrise
32-244 reference(s)
From Pluto to the Sun -extrapolation 2- (non linear scales)
33-238 reference(s)
2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections-
34-237 reference(s)
Jean-François Colonna
35-237 reference(s)
A uniform grey stripe on a grey scale
36-235 reference(s)
The random walk of photons escaping the Sun
37-228 reference(s)
The trajectories of bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity
38-226 reference(s)
Tridimensional fractal structure
39-226 reference(s)
Artistic view of 128 quaternionic Julia sets -tridimensional cross-sections-
40-221 reference(s)
Quaternionic shell
41-220 reference(s)
Bidimensional display of the rounding-off errors when computing the Verhulst dynamics
42-215 reference(s)
Quaternionic lion with extended arithmetics
43-215 reference(s)
Rotation about the X axis of the Lorenz attractor (5000 iterations), computed simultaneously on two different computers
44-215 reference(s)
Artistic view of the Big Bang
45-214 reference(s)
Alien
46-214 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
47-212 reference(s)
Snowy Rocky Mountains
48-211 reference(s)
Animation of a sunrise on mountains
49-210 reference(s)
Rotation about the X axis of the Lorenz attractor
50-207 reference(s)
24 evenly distributed points on a sphere by means of simulated annealing
51-198 reference(s)
From the infinitely small to the infinitely big
52-198 reference(s)
Artistic view of the trajectories of tridimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity
53-197 reference(s)
Botticelli anomaly on the Moon
54-195 reference(s)
Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms
55-193 reference(s)
Autostereogram with an hidden volcano
56-190 reference(s)
Along the border of the Mandelbrot set
57-189 reference(s)
Golden ring
58-186 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
59-184 reference(s)
Artistic view of the Solar System viewed from a virtual planet
60-180 reference(s)
Quantum vacuum fluctuation dynamics
61-176 reference(s)
Snowy multifractal mountains
62-176 reference(s)
Tridimensional fractal structure in a tridimensional torus
63-174 reference(s)
The Scream -a Tribute to Edvard Munch-
64-171 reference(s)
Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation)
65-171 reference(s)
Artistic view of a quadridimensional Calabi-Yau manifold
66-171 reference(s)
Voronoi diagrams
67-170 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
68-170 reference(s)
The first true colors autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
69-169 reference(s)
64 elementary bidimensional binary cellular automata with 1 white starting central point
70-169 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
71-167 reference(s)
Rotation about the Y (vertical)axis of a tridimensional fractal aggregate that can also be viewed as a set of 4x3 pseudo-stereograms
72-166 reference(s)
A pay slip
73-165 reference(s)
The same bidimensional scalar field displayed with 4 different color palettes
74-163 reference(s)
The first autostereogram movie about quaternionic Julia sets -tridimensional cross-sections-
75-162 reference(s)
16 complex Julia sets along the border of the Mandelbrot set with display of the iteration numbers
76-161 reference(s)
Convolution of a detail of the Mandelbrot set
77-159 reference(s)
Autostereogram of a quaternionic Julia set -tridimensional cross-section-
78-158 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
79-158 reference(s)
The foggy Earth planet
80-157 reference(s)
Computation of the Lorenz attractor on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
81-155 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
82-155 reference(s)
The bidimensional field defining the three coordinates of a fractal surface
83-154 reference(s)
Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
84-153 reference(s)
Hypercube
85-152 reference(s)
Intertwining based on the geometry of the sphere
86-152 reference(s)
Synthesis of bidimensional symmetrical geometrical textures
87-150 reference(s)
A bidimensional fern computed by means of an 'Iterated Function System' -IFS-
88-150 reference(s)
Bidimensional display of the dynamics of the linear superposition of 6 eigenstates of the Hydrogen atom (bidimensional computation)
89-150 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
90-150 reference(s)
A bidimensional Sierpinski 'carpet' computed by means of an 'Iterated Function System' -IFS-
91-149 reference(s)
The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
92-149 reference(s)
Artistic view of a tridimensional fractal structure
93-148 reference(s)
Cauliflowers, seaweeds, shells,... with fog
94-148 reference(s)
The generalized Ulam spiral displaying 100 numbers
95-148 reference(s)
The Earth, the Life and the Sun
96-147 reference(s)
The Solar System with a dark blue virtual planet -virtual planet point of view-
97-146 reference(s)
2 identical grey squares moving over a grey scale
98-144 reference(s)
The irreversibility of the numerical bidimensional billiard
99-142 reference(s)
No Title 0031
100-141 reference(s)
Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
101-140 reference(s)
7-foil torus knots
102-139 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
103-137 reference(s)
Autostereogram with an hidden volcano
104-136 reference(s)
Artistic view of the Solar System viewed from a virtual planet -a Tribute to Isaac Newton-
105-136 reference(s)
The first two iterations of the construction of the von Koch curve
106-134 reference(s)
Snowy multifractal mountains
107-133 reference(s)
The bottom of the sea
108-133 reference(s)
Autostereogram with an hidden ring and ghost bows
109-132 reference(s)
Mandelbrot rainbow mountain with fog
110-132 reference(s)
A pyramidal Menger sponge computed by means of an 'Iterated Function System' -IFS-
111-130 reference(s)
A shell (Jeener surface 1)in motion
112-130 reference(s)
Tridimensional display of the dynamics of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
113-129 reference(s)
Double impossible staircase
114-129 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed on three different computers (the Red one, the Green one and the Blue one: sensitivity to rounding-off errors)
115-128 reference(s)
Animation of a natural form
116-127 reference(s)
True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
117-126 reference(s)
N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
118-126 reference(s)
Jean-François Colonna
119-126 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
120-123 reference(s)
Tridimensional zoom in on the Mandelbrot set
121-122 reference(s)
Mountains and light cloud dynamics -this sequence being periodical-
122-121 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
123-121 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
124-118 reference(s)
The generalized Ulam spiral displaying 1024 numbers
125-117 reference(s)
Electron-positron scattering
126-117 reference(s)
Alien spacecrafts on the Moon
127-116 reference(s)
Cross-sections inside a tridimensional fractal aggregate
128-114 reference(s)




2-The 128 most referenced Pages:



1-demo_14
2267 reference(s)
2-Galerie_GeneralitiesVisualization.FV
2038 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
1517 reference(s)
4-An2000.01.Fra
1465 reference(s)
5-Galerie_QuantumMechanics.FV
940 reference(s)
6-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
884 reference(s)
7-help.
877 reference(s)
8-Galerie_ArtisticCreation.FV
783 reference(s)
9-Fractal.01
616 reference(s)
10-Galerie_CelestialMechanics.FV
594 reference(s)
11-AVirtualSpaceTimeTravelMachine.Fra
590 reference(s)
12-Galerie_DeterministicFractalGeometry.FV
583 reference(s)
13-Galerie_ParticleSystems.FV
582 reference(s)
14-ImagesDuVirtuel.01.Fra
568 reference(s)
15-FloatingPointNumbers.01.Fra
551 reference(s)
16-ImagesDuVirtuel.01.Fra.FV
546 reference(s)
17-copyright.01.
539 reference(s)
18-mail.01.vv
533 reference(s)
19-Informations_AboutPicturesAnimationsAndFiles.01.Ang
528 reference(s)
20-Galerie_NumberTheory.FV
524 reference(s)
21-Stereogrammes_AutoStereogrammes.01
517 reference(s)
22-GenieLogiciel.01.Fra
484 reference(s)
23-Galerie_TextureSynthesis.FV
483 reference(s)
24-present.01.
481 reference(s)
25-FloatingPointNumbers.01.Ang
479 reference(s)
26-Galerie_ArtAndScience.FV
468 reference(s)
27-Galerie_DeterministicChaos.FV
460 reference(s)
28-AProposSite.01.Fra
455 reference(s)
29-ExpV_VirE.21
446 reference(s)
30-ExpV_VirE.11
446 reference(s)
31-AQuoiServentLesMathematiques.01
437 reference(s)
32-SurfaceProjector.01.Ang
427 reference(s)
33-ArtScience.11.Fra
427 reference(s)
34-ExpV_VirE.Fra
418 reference(s)
35-Commentaires_DefinitionComplexes.01
383 reference(s)
36-AnimFractal.01.
383 reference(s)
37-SurfaceProjector.01.Fra
371 reference(s)
38-RealNumbers.01.Fra
368 reference(s)
39-An2000.02.Fra
359 reference(s)
40-Galerie_FromTheInfinitelySmallToTheInfinitelyBig.FV
356 reference(s)
41-AVirtualSpaceTimeTravelMachine.Fra.FV
346 reference(s)
42-Autostereograms.01.
344 reference(s)
43-Commentaires_DefinitionQuaternions.01
343 reference(s)
44-Galerie_SignalProcessing.FV
340 reference(s)
45-LOG_xiMc.11
337 reference(s)
46-RemarquesCerveau.01
324 reference(s)
47-Commentaires_SystemeSolaire.01
315 reference(s)
48-Galerie_NewPictures.FV
313 reference(s)
49-Galerie_Astrophysics.FV
313 reference(s)
50-Galerie_AnthropomorphicPatterns.FV
310 reference(s)
51-Commentaires_EspaceLyapunovComplexe.01
303 reference(s)
52-Informations_AboutPicturesAnimationsAndFiles.01.Fra
300 reference(s)
53-Kepler.02.
299 reference(s)
54-EnsembleDesGaleries.DIAPO.0001
299 reference(s)
55-VirtualChaos.01.Fra
292 reference(s)
56-Commentaires_VarieteQuadriDimensionnelleCalabiYau.01
290 reference(s)
57-Commentaires_DefinitionTransformeeDeFourier.01
289 reference(s)
58-Galerie_FluidMechanics.FV
285 reference(s)
59-Galerie_QuantumMechanics.DIAPO.0001
284 reference(s)
60-demo_14.FV
281 reference(s)
61-AvantPropos.01.Ang
281 reference(s)
62-Galerie_BestOf.FV
278 reference(s)
63-Galerie_SensitivityToRoundingOffErrors.FV
276 reference(s)
64-DuModeleALImage.01.Fra
276 reference(s)
65-An2000.05.Fra
276 reference(s)
66-ExpV_VirE.01.Fra
274 reference(s)
67-Commentaires_Tore.01
274 reference(s)
68-create.03.
272 reference(s)
69-VisSci_SciVis.01
270 reference(s)
70-ArtOrdinateur.01
270 reference(s)
71-ExpV_VirE.Ang
267 reference(s)
72-MonumentValley.01.Fra
265 reference(s)
73-Galerie_CollaborativeWorks..FV
265 reference(s)
74-subject.01.
263 reference(s)
75-ManyChaos.01.Fra
259 reference(s)
76-catalogue.11
258 reference(s)
77-ExpV_VirE.01.Ang
256 reference(s)
78-ImpossibleStructures.01.Ang
255 reference(s)
79-Commentaires_FluideInstationnaireBiDimensionnelIdeal.01
251 reference(s)
80-Vcatalogue.11
250 reference(s)
81-MonumentValley.01.Ang
250 reference(s)
82-Galerie_SalonDAutomne.FV
250 reference(s)
83-ArtScience.01
248 reference(s)
84-Commentaires_ProblemeDesNAimants.01
247 reference(s)
85-infinity.01.vv.DIAPO.0001
246 reference(s)
86-Galerie_NewPictures.DIAPO.0001
244 reference(s)
87-VisitesGaleriesEnfouies.01.Fra
243 reference(s)
88-VisitesGaleriesEnfouies.01.Ang
243 reference(s)
89-Informations_GoodNewsAndBadNews.01.Fra
243 reference(s)
90-ManyChaos.01.Ang
242 reference(s)
91-Galerie_DeterministicFractalGeometry.DIAPO.0001
241 reference(s)
92-PerteDeLAssociativite.01
239 reference(s)
93-Commentaires_NKleinBottle.01
239 reference(s)
94-An2000.01.Ang
239 reference(s)
95-An2000.06.Fra
238 reference(s)
96-Commentaires_KleinBottle.01
237 reference(s)
97-infinity.01.vv
236 reference(s)
98-Spheres.01
235 reference(s)
99-Galerie_QuantumMechanics
235 reference(s)
100-Galerie_CelestialMechanics
235 reference(s)
101-hydrogene.61.K.
234 reference(s)
102-FaireDeLaRecherche.01.vv
234 reference(s)
103-Galerie_FluidMechanics.DIAPO.0001
233 reference(s)
104-Commentaires_EnsembleMandelbrotComplexe.01
233 reference(s)
105-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.DIAPO.0001
232 reference(s)
106-real.01.vv.
230 reference(s)
107-Galerie_NewPictures
230 reference(s)
108-Galerie_ArtAndScience.DIAPO.0001
229 reference(s)
109-Commentaires_VarieteHexaDimensionnelleCalabiYau.01
229 reference(s)
110-An2000.04.Fra
229 reference(s)
111-Galerie_DeterministicChaos.DIAPO.0001
228 reference(s)
112-Galerie_BestOf.DIAPO.0001
227 reference(s)
113-Galerie_ArtisticCreation.DIAPO.0001
225 reference(s)
114-AVirtualSpaceTimeTravelMachine.Ang.FV
225 reference(s)
115-Galerie_AnthropomorphicPatterns.DIAPO.0001
224 reference(s)
116-Commentaires_ProblemeDesNCorps.01
224 reference(s)
117-Galerie_FromTheInfinitelySmallToTheInfinitelyBig
222 reference(s)
118-Galerie_ArtisticCreation
221 reference(s)
119-VirtualChaos.01.Ang
220 reference(s)
120-Galerie_NumberTheory.DIAPO.0001
220 reference(s)
121-ImpossibleStructures.01.Fra
218 reference(s)
122-Galerie_Astrophysics.DIAPO.0001
218 reference(s)
123-Commentaires_ModeleIsingBiDimensionnel.01
218 reference(s)
124-Galerie_GeneralitiesVisualization
217 reference(s)
125-Commentaires_ModeleIsingTriDimensionnel.01
217 reference(s)
126-Commentaires_SurfaceDeBoy.01
216 reference(s)
127-Commentaires_JeenerMobuisManifold.01
215 reference(s)
128-relativity.01.
214 reference(s)

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Copyright (c) Jean-François Colonna, 2007-2018.
Copyright (c) France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2007-2018.